5 West South Central $149,550 2,107 0.082244 5 West South Central 7 West South Central 8 West South Central 9 West South Central 0 West South Central 21 West South Central 22 West South Central 23 West South Central 24 West South Central 25 West South Central 26 West South Central 27 West South Central 28 West South Central 29 West South Central 30 West South Central 31 West South Central 32 West South Central 33 West South Central 34 West South Central 35 West South Central 36 West South Central 37 West South Central 38 West South Central 39 West South Central 40 West South Central $214,935 2,015 0.128102 National average square footage 1,944 $150,050 1,281 0.005803 sample mean 2,024 $168,521 1,763 0.109784 sample std dev 304.170303 $423,000 3,047 0.617676 standard error 13.6029095 $145,050 1,942 0.477541 $191,525 1,900 0.1699 $118,550 1,450 0.463464 let u be the average square footage in west south central H: U = 1944 $157,050 1,783 0.561813 H1: U not equal to 1944 $240,050 1,833 0.338554 level of significance = 0.05 $231,064 2,136 0.74754 $235,050 2,147 0.286252 1,881.32 0 $235,721 1,931 0.600409 $149,950 1,300 0.703539 $202,864 2,011 0.197055 $315,000 2,402 0.026237 $159,500 1,920 0.488981 $195,050 2,016 0.242449 $148,550 1,834 0.426707 margin of error test statistic p-value conclusion: Since the p-value is less than the level of significance, we will reject the null hypothesis. interpretation: there evidence that the average square footage in West South Central region is not equal to the National Average square footage. 95% confidence interval alpha confidence interval 0.05 sample mean +/- the margin of error 6277.18067 $168,550 1,822 0.622318 lower bound $230,050 1,794 0.909992 upper bound (4,252.95) 8,301.41 $119,950 1,566 0.783721 $164,500 1,911 0.193116 $274,513 2,051 0.143872 $255,040 2,209 0.426408 $197,300 1,853 0.554203 (4,252.95, 8,301.41) we are 95% confident, that the average square footage in West South Central is between 4.252.95 and 8,301.41. West South Central Sample Listing Prices 41 West South Central $350,050 2,805 0.115729 House listing Square price footage random $238,417 1,982 0.856053 National Average Listing Price $288,407 $184,750 2,043 0.335245 sample mean al $192,550 1,892 0.782702 al $109,550 1,608 0.939792 al $194,050 2,159 0.397161 sample std dev standard error sample size $222,918 71440.8953 3194.93397 500 ral $212,050 1,907 0.001817 HO: =288,407 ral $149,886 1,744 0.540416 H1 j < 288,407 ral $276,050 2,079 0.33164 level of significance = 0.05 ral $311,759 2,613 0.179264 test statistic $222,827.92 ral $119,050 1,568 0.977442 p-value 1 tral $433,332 3,188 0.482023 tral $184,100 2,030 0.796924 conclusion: Since the p-value is greater than level of significance we do not reject the null hypothesis interpretation: there is evidence that the average listing price in west south central is greater than the national average listing prices. tral $359,205 2,784 0.275127 tral $149,550 2,107 0.082244 stral $214,935 2,015 0.128102 National average square footage tral. $150,050 1,281 0.005803 sample mean tral $168,521 1,763 0.109784 sample std dev ntral $423,000 3,047 0.617676 entral $145,050 1,942 0.477541 entral $191,525 1,900 0.1699 ntral $118,550 1,450 0.463464 entral $157,050 1,783 0.561813 entral $240,050 1,833 0.338554 = entral $231,064 2,136 0.74754 standard error let u be the average square footage in west south central HO: P=1944 H1: not equal to 1944 level of significance 0.05 test statistic 1,944 2,024 304.170303 13.6029095 + 1,881.32 entral $235,050 2,147 0.286252 p-value 0 4.3924 Mid Atlantic South Atlantic East North Central East South Central Mountain Pacific West North Central student WSC West South Central + fx D E 240,050 F 1,833 0.338554 G H M N 0 P Q R S level of significance = 0.05 231,064 2,136 0.74754 235,050 2,147 0.286252 test statistic p-value 1,881.32 0 235,721 1,931 0.600409 5149,950 1,300 0.703539 conclusion: Since the p-value is less than the level of significance, we will reject the null hypothesis. interpretation: there is evidence that the average square footage in West South Central region is not equal to the National Average square footage. $202,864 2,011 0.197055 5315,000 2,402 0.026237 $159,500 1,920 0.488981 95% confidence interval alpha $195,050 2,016 0.242449 confidence interval $148,550 1,834 0.426707 margin of error $168,550 1,822 0.622318 lower bound $230,050 1,794 0.909992 upper bound 0.05 sample mean +/- the margin of error 6277.18067 (4,252.95) 8,301.41 $119,950 1,566 0.783721 $164,500 1,911 0.193116 $274,513 2,051 0.143872 $255,040 2,209 0.426408 $197,300 1,853 0.554203 (4,252.95, 8,301.41) we are 95% confident, that the average square footage in West South Central is between 4.252.95 and 8,301.41. West South Central Sample Listing Prices $350,050 2,805 0.115729 $175,300 1,777 0.306228 $352,121 2,724 0.484019 109 90 93 + $217,050 1,912 0.052346 $237,450 1,937 0.063032 $327,495 2,542 0.85622 52 $248,050 2,408 0.584237 43 46 $209,301 1,871 0.843631 21 22 $179,550 1,934 0.237459 $280,050 2,016 0.490285 Rr dddd Atlantic South Atlantic East North Central East South Central Mountain Pacific West North Central student WSC West South Central L